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Math Derivatives Calculus Flashcards | StudBud
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Math Derivatives Calculus
Math Derivatives Calculus
22 terms
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#derivatives #Calculus #Math #IB #Estela #Cambridge #International #Baccalaurette
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Answers
1
What is the differenciation of f (x)= x
7
f '(x)= 2x6
f (x)= 6x7
dx/dy= 6x7
f '(x)= 6x7
2
What is the derivative for f(x)= (x+3)
2
?
y '= 2x -6/x2
y '= 2x -7/x2
y = 2x -7/x2
y '= 2x -7/x
3
What happens to a constant during differenciation?
The value of the constant will be the same
The value of the constant will be equal to 0
There can not be constants in differenciation
The value of the constant will be equal to 1
4
What is the derivative for f(x)= 2x
3
+9
dy/dx= 3x2
dy/dx= 6x2
dy/dx= 6x3
dy/dx= 4x2
5
What is the derivative for dy/dx= x
3
-4x
2
?
f (x)= 3x2 -8x
f '(x)= 3x3 -8x
f '(x)= 3x2 -8x
f '(x)= 3x2 -16x
6
What are derivatives useful for?
To Calculate the best fit line in a scatter graph
To calculate the gradient of a curve in different places
To find the range of a model
To calculate the mean of a set of numbers
7
What is the derivative for dy/dx=√x?
f '(x)= -1/2x-1/2
f (x)= 1/2x-1/2
f '(x)= 1/2x1/2
f '(x)= 1/2x-1/2
8
What is the derivative for dy/dx = 1 + 1/x ?
y '= -1/x2
y = -1/x2
y '= 1/x2
y '= x-2
9
What is the derivative for dy/dx= 5x - 8/15x
-(5/2)
?
y '= 4/3x7/2 + 5
y = 4/3x7/2 + 5
y '= 4/3x7/2 + 5x
y '= 4/3x6/2 + 5
10
What is the derivative for f(x)= x
-1
?
dx/dy= -x-2
dy/dx= -x-2
dy/dx= x-2
dy/dx= -x2
11
What are the ways to name the derivative?
f '(x), dx/dy, y '
f (x), dy/dx, y'
f '(x), dy/dx, y'
f '(y), dy/dx, y'
12
What is the derivative for y= 3x
2
+x-3 ?
f '(x)= 6x + 1
f '(x)= 6x-2 + 1
f '(x)= 6x2 + 1
f '(x)= 6x + 3
13
What is the derivative for f (x)=5x
2
?
dx/dy = 10x
y= 10x2
f'(x)= 10x
y '= 10x2
14
What is the derivative for dy/dx= x
2
+ 1/x?
y '= -1/x2
y '= 1/x2
y '= -1/x-2
y = -1/x2
15
What is the answer to dy/dx= X
-4
?
f '(x)= -4x5
f '(x)= -5x-4
f (x)= -4x-5
dy/dx= -4X-5
16
How do you find y using the differenciation method?
The differenciation method is used to find the X coordinate
You have to equate to 0
You replace "x" with a value in the equation
The differenciation method only works to find the gradient
17
What is the derivative for y= 6/∛x ?
f '(x)= -2(1/4√x3)
f '(x)= 2(1/4√x3)
f (x)= -2(1/4√x3)
f '(x)= -2(1/3√x4)
18
What is the derivative for y=2/√x + x
4
?
y '=1/√x3 + 4x3
y =1/√x3 + 4x3
y '=1/√x3 + 4x4
y '=1/√x2 + 4x3
19
What happens when you have Y= f(x) + g(x)?
Neither are derivated
Only g(x) is derivated
Only f(x) is derivated
Both f(x) and g(x) are derivated
20
What is the way we derivate functions?
Derivation
Calculus
Diferenciation
Diferencienciation
21
What is the derivative for y= 3/x
2
?
y'= -6x-3
y'= -6x3
y'= 6x-3
y= -6x-3
22
What rule is used for differenciation?
f'(y)= anXn-1
f '(x)= anXn
f(x)=anXn-1
f '(x)= anXn-1
